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Finding the Fourth Proportional to 3,589, 5,381.40 and 1,367.96

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Solution

The fourth proportional to 3,589, 5,381.40 and 1,367.96 is: 2,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 5,381.40 = 1,367.96 : x
  2. Step 2: Convert to fraction form
    3,589/5,381.40 = 1,367.96/x
  3. Step 3: Cross multiply
    3,589x = 5,381.40 × 1,367.96
  4. Step 4: Simplify right side
    3,589x = 7,361,539.94
  5. Step 5: Solve for x
    x = 7,361,539.94/3,589
  6. Step 6: Final answer
    x = 2,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.